2002461084 has 72 divisors (see below), whose sum is σ = 5457265632. Its totient is φ = 615450240.

The previous prime is 2002461079. The next prime is 2002461157. The reversal of 2002461084 is 4801642002.

2002461084 is a `hidden beast` number, since 20 + 0 + 24 + 610 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550897 + ... + 554519.

It is an arithmetic number, because the mean of its divisors is an integer number (75795356).

Almost surely, 2^2002461084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002461084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728632816).

2002461084 is an abundant number, since it is smaller than the sum of its proper divisors (3454804548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002461084 is a wasteful number, since it uses less digits than its factorization.

2002461084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2002461084 is about 44748.8668459884. The cubic root of 2002461084 is about 1260.4376333164.

The spelling of 2002461084 in words is "two billion, two million, four hundred sixty-one thousand, eighty-four".